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6n=5\left(n+2\right)
Variable n cannot be equal to -2 since division by zero is not defined. Multiply both sides of the equation by 12\left(n+2\right), the least common multiple of 2n+4,12.
6n=5n+10
Use the distributive property to multiply 5 by n+2.
6n-5n=10
Subtract 5n from both sides.
n=10
Combine 6n and -5n to get n.